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Finding the Third Proportional to 224,740 and 486,903

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Solution

The third proportional to 224,740 and 486,903 is: 1,054,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,740 : 486,903 = 486,903 : x
  2. Step 2: Convert to fraction form
    224,740/486,903 = 486,903/x
  3. Step 3: Cross multiply
    224,740x = 486,903 × 486,903
  4. Step 4: Simplify right side
    224,740x = 237,074,531,409
  5. Step 5: Solve for x
    x = 237,074,531,409/224,740
  6. Step 6: Final answer
    x = 1,054,883.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.